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349005468 = 22377015927
BaseRepresentation
bin10100110011010…
…110011010011100
3220022201022111110
4110303112122130
51203321133333
654344222020
711435332440
oct2463263234
9808638443
10349005468
1116a005a79
1298a6a910
13573c8616
14344cc820
152098e063
hex14cd669c

349005468 has 48 divisors (see below), whose sum is σ = 932166144. Its totient is φ = 99556800.

The previous prime is 349005421. The next prime is 349005491. The reversal of 349005468 is 864500943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55921 + ... + 61847.

It is an arithmetic number, because the mean of its divisors is an integer number (19420128).

Almost surely, 2349005468 is an apocalyptic number.

It is an amenable number.

349005468 is an abundant number, since it is smaller than the sum of its proper divisors (583160676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349005468 is a wasteful number, since it uses less digits than its factorization.

349005468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 349005468 is about 18681.6880393609. The cubic root of 349005468 is about 704.0617386240.

The spelling of 349005468 in words is "three hundred forty-nine million, five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 701 1402 2103 2804 4206 4907 5927 8412 9814 11854 14721 17781 19628 23708 29442 35562 41489 58884 71124 82978 124467 165956 248934 497868 4154827 8309654 12464481 16619308 24928962 29083789 49857924 58167578 87251367 116335156 174502734 349005468